| 含参Sprott-O混沌系统的直接延迟反馈控制 |
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| 引用本文： | 闫丽宏. 含参Sprott-O混沌系统的直接延迟反馈控制[J]. 河南师范大学学报(自然科学版), 2012, 40(6): 59-62 |
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| 作者姓名： | 闫丽宏 |
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| 作者单位： | 咸阳师范学院数学与信息科学学院,陕西咸阳,712000 |
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| 基金项目： | 陕西省自然科学基金，陕西省教育厅专项科研基金，陕西省咸阳师范学院自然科学基金 |
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| 摘 要： | 利用非线性动力学理论,讨论了带有参数的Sprott-O系统的混沌特性.利用数值方法得到系统的混沌吸引子和周期态.在(2.65,2.95)区间内,运用全局分岔图和Lyapunov指数图准确地表征了系统在此区间内丰富的非线性行为.通过局部放大的全局分岔图,发现系统发生了倒倍周期分岔现象.最后应用直接延迟反馈法对系统的混沌运动进行了控制,使系统的混沌运动控制到稳定的低周期运动状态.
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| 关 键 词： | 混沌吸引子 延迟反馈 混沌控制 |
Delayed Feedback Control the Chaos of the Sprott-O System with Parameters |
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| YAN Li-hong. Delayed Feedback Control the Chaos of the Sprott-O System with Parameters[J]. Journal of Henan Normal University(Natural Science), 2012, 40(6): 59-62 |
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| Authors: | YAN Li-hong |
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| Affiliation: | YAN Li-hong(School of Mathematics and Information Science,Xianyang Normal University,Shanxi 712000,China) |
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| Abstract: | In this paper,the chaotic characters of modified Sprott-O system were studied base on the nonlinear dynamical theory.By introducing the numerical methods,the chaotic attractor and periodical stations were shown.The dynamic behavior of Sprott-O system was presented by the global bifurcation graph,the Lyapunov exponent and poincare section when c∈(2.65,2.95).Finally the system was controlled by the time delay feedback control method,which makes the system to be low periodical orbit. |
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| Keywords: | chaotic attractor time delay feedback chaos control |
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